Problem 1
Factor out the greatest common factor.
Problem 1
Find all numbers that must be excluded from the domain of each rational expression. 7/(x−3)
Problem 1
Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. √36
Problem 1
In Exercises 1–4, is the algebraic expression a polynomial? If it is, write the polynomial in standard form. 2x+3x2−5
Problem 1
In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 7+5x, for x = 10
Problem 1
Evaluate each algebraic expression for the given value or value(s) of the variable(s). 3+6(x-2)3 for x = 4
Problem 3
In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 6x-y, for x=3 and y=8
Problem 3
In Exercises 1–10, factor out the greatest common factor. 3x2+6x
Problem 3
In Exercises 1–6, find all numbers that must be excluded from the domain of each rational expression. (x+5)/(x2−25)
Problem 3
Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. −√36
Problem 3
Is the algebraic expression a polynomial? If it is, write the polynomial in standard form. (2x+3)/x
Problem 3
Evaluate each exponential expression in Exercises 1–22. (−2)6
- Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set A ∩ B.
Problem 4
Problem 5
In Exercises 5–8, find the degree of the polynomial. 3x2−5x+4
Problem 5
In Exercises 1–6, find all numbers that must be excluded from the domain of each rational expression. (x−1)/(x2+11x+10)
Problem 5
Evaluate each exponential expression in Exercises 1–22. −26
Problem 5
Factor out the greatest common factor.
- Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set A ∪ B.
Problem 5
Problem 5
In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). x^2+3x, for x=8
Problem 6
Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. √−25
Problem 7
Evaluate each exponential expression in Exercises 1–22. (−3)0
Problem 7
In Exercises 5–8, find the degree of the polynomial. x2−4x3+9x−12x4+63
Problem 7
In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). x2-6x+3, for x=7
Problem 7
In Exercises 7–14, simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. (3x−9)/(x2−6x+9)
Problem 8
Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. √144+25
Problem 8
In Exercises 1–10, factor out the greatest common factor. x(2x+1)+4(2x+1)
Problem 9
In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (−6x3+5x2−8x+9)+(17x3+2x2−4x−13)
Problem 9
In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 4+5(x-7)3, for x =9
Problem 9
Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. √25−√16
Problem 10
In Exercises 1–10, factor out the greatest common factor. x2(2x+5)+17(2x+5)
Ch. P - Fundamental Concepts of Algebra
